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Finding the Fourth Proportional to 493.02, 738.38 and 389.62

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Solution

The fourth proportional to 493.02, 738.38 and 389.62 is: 583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 738.38 = 389.62 : x
  2. Step 2: Convert to fraction form
    493.02/738.38 = 389.62/x
  3. Step 3: Cross multiply
    493.02x = 738.38 × 389.62
  4. Step 4: Simplify right side
    493.02x = 287,687.62
  5. Step 5: Solve for x
    x = 287,687.62/493.02
  6. Step 6: Final answer
    x = 583.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.